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| 局部Z-空间和Z-连续空间 | |
| 引用本文： | 熊祥龙,徐晓泉. 局部Z-空间和Z-连续空间[J]. 模糊系统与数学, 2020, 34(2): 15-21 |
| 作者姓名： | 熊祥龙 徐晓泉 |
| 作者单位： | 江西师范大学数学与信息科学学院,江西南昌 330022 |
| 基金项目： | 国家自然科学基金;江西省"赣鄱英才555工程"项目;江西省自然科学基金 |
| 摘 要： | 对于一般广义子集系统Z,引入了局部Z-空间和Z-连续空间的概念,讨论了局部Z-空间的基本性质;基于收敛网,给出了局部Z-空间的等价刻画,证明了X为Z-连续空间当且仅当X为局部Z-空间。 |
| 关 键 词： | (广义)子集系统Z 局部Z-空间 Z-连续空间 收敛网 |
Locally Z-spaces and Z-continuous Spaces |
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| XIONG Xiang-long,XU Xiao-quan. Locally Z-spaces and Z-continuous Spaces[J]. Fuzzy Systems and Mathematics, 2020, 34(2): 15-21 | |
| Authors: | XIONG Xiang-long XU Xiao-quan |
| Affiliation: | (College of Math and Inform ation Sci.,Jiangxi Normal University,Nanchang 330022,China) |
| Abstract: | In this paper, for a generalized subset system Z, the concepts of locally Z-spaces and Z-continuous spaces are introduced,and some basic properties of the locally Z-spaces are discussed. Based on convergent nets, it is proved that a space X is a locally Z-space if and only if X is a Z-continuous space. |
| Keywords: | (Generalized)Subset System Z Locally Z-space Z-continuous Space Convergent Net |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |